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Finding the Third Proportional to 480,908 and 1,026,144

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Solution

The third proportional to 480,908 and 1,026,144 is: 2,189,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,908 : 1,026,144 = 1,026,144 : x
  2. Step 2: Convert to fraction form
    480,908/1,026,144 = 1,026,144/x
  3. Step 3: Cross multiply
    480,908x = 1,026,144 × 1,026,144
  4. Step 4: Simplify right side
    480,908x = 1,052,971,508,736
  5. Step 5: Solve for x
    x = 1,052,971,508,736/480,908
  6. Step 6: Final answer
    x = 2,189,548.75

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.